The big limitation of Coq is a limitation common to all proof assistants. It takes a lot of time and effort to formalise even simple mathematical ideas, so comp

The big limitation of Coq is a limitation common to all proof assistants. It takes a lot of time and effort to formalise even simple mathematical ideas, so complex ones can seem quite beyond reach. However if a proof requires the analysis of more cases than a human could comfortably handle, as in the four colour theorem or the Kepler conjecture, then it is a good candidate. https://en.wikipedia.org/wiki/Proof_by_exhaustion https://en.wikipedia.org/wiki/Proof_by_exhaustion